Stability of Davison functional equation with \(n\)- variables over non-Archimedean \((n, \beta)\) normed spaces
Authors
K. D. Sankar
- Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur-603 203, India.
S. Sampath
- Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur-603 203, India.
Abstract
In this paper, we discuss the Hyers-Ulam stability of the Davison functional equation
\[
\sum_{i=1}^{n-1}m(x_ix_n)+\sum_{i=1}^{n-1}m(x_i+x_n)=\sum_{i=1}^{n-1}m(x_ix_n+x_i)+m(x_n)
\]
with \(n\)-variables over non-Archimedean \((n, \beta)\) normed spaces (NAn\(\beta\)NS). Also, discuss some results for the same with suitable counter-example.
Share and Cite
ISRP Style
K. D. Sankar, S. Sampath, Stability of Davison functional equation with \(n\)- variables over non-Archimedean \((n, \beta)\) normed spaces, Journal of Mathematics and Computer Science, 35 (2024), no. 4, 492--502
AMA Style
Sankar K. D., Sampath S., Stability of Davison functional equation with \(n\)- variables over non-Archimedean \((n, \beta)\) normed spaces. J Math Comput SCI-JM. (2024); 35(4):492--502
Chicago/Turabian Style
Sankar, K. D., Sampath, S.. "Stability of Davison functional equation with \(n\)- variables over non-Archimedean \((n, \beta)\) normed spaces." Journal of Mathematics and Computer Science, 35, no. 4 (2024): 492--502
Keywords
- Hyers-Ulam stability
- Davison functional equation
- non-Archimedean \((n, \beta)\) normed spaces (NAn\(\beta\)NS)
MSC
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